Figure 2-2.-Locus of points equidistant from two given points. EXAMPLE: Find the equation of the curve that is the locus of all points equidistant from the line x = - 3 and the point (3,0). SOLUTION. As shown in figure 2-3, the distance from the point (x,y) on the curve to the line x = -3 is. The distance from the point (x,y) to the point (3,0) is.
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